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Nonparametric polynomial density estimation in the L P norm

Invited Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1354)

Abstract

A simple construction of polynomial estimators for densities and distributions on the unit interval is presented. For densities from certain Lipschitz classes the error for the mean Lp deviation is characterised. The Casteljeau algorithm for calculating the values of the estimators is applied.

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References

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© 1988 Springer-Verlag

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Ciesielski, Z. (1988). Nonparametric polynomial density estimation in the L P norm. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089579

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  • DOI: https://doi.org/10.1007/BFb0089579

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50443-6

  • Online ISBN: 978-3-540-46005-3

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